481744716813513 has 40 divisors (see below), whose sum is σ = 754339703431776. Its totient is φ = 306043155230400.

The previous prime is 481744716813499. The next prime is 481744716813527. The reversal of 481744716813513 is 315318617447184.

481744716813513 is a `hidden beast` number, since 4 + 8 + 1 + 7 + 4 + 47 + 1 + 68 + 13 + 513 = 666.

It is an interprime number because it is at equal distance from previous prime (481744716813499) and next prime (481744716813527).

It is not a de Polignac number, because 481744716813513 - 2⁶ = 481744716813449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481744716813583) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1686602983 + ... + 1686888588.

Almost surely, 2^{481744716813513} is an apocalyptic number.

481744716813513 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

481744716813513 is a deficient number, since it is larger than the sum of its proper divisors (272594986618263).

481744716813513 is a wasteful number, since it uses less digits than its factorization.

481744716813513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373491667 (or 3373491658 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 481744716813513 in words is "four hundred eighty-one trillion, seven hundred forty-four billion, seven hundred sixteen million, eight hundred thirteen thousand, five hundred thirteen".